Direct implementation of extended arithmetic operators on fuzzy numbers is computationally complex. Implementation of the extension principle is equivalent to solving a nonlinear programming problem. To overcome this difficulty many applications limit the membership functions to certain shapes, usually either triangular fuzzy numbers (TFN) or trapezoidal fuzzy numbers (TrFN). Then calculation o...

This paper is focused on arithmetic operations fuzzy and intuitionistic numbers to solve the unconstrained optimization problems with triangular trapezoidal, number coefficients. The optimal solution obtained by Newton’s method, MATLAB outputs are also provided illustrative examples. method proposed in this research work has been compared existing method.

Parametric representation of fuzzy numbers (PFN) with derived methods for performing fuzzy arithmetic proves to have better accuracy and similar computational speed to using triangular fuzzy numbers (TFN). These fuzzy numbers (PFN) can be considered a special case of triangular fuzzy numbers (TFN) as they have three additional parameters and their methods for arithmetic operations are further s...

In practice, some special LR fuzzy numbers, like the triangular fuzzy number, the Gaussian fuzzy number and the Cauchy fuzzy number, are widely used in many areas to deal with various vague information. With regard to these special LR fuzzy numbers, called regular LR fuzzy numbers in this paper, an operational law is proposed for fuzzy arithmetic, providing a novel approach to analytically and ...

Beginning with triangular fuzzy inputs representing fuzzy ratio judgments, we experiment with two procedures to obtain fuzzy relative priorities in the Analytic Hierarchy Process. We extend the simple geometric mean and simple normalized column sum methods with fuzzy arithmetic. When the pairwise comparisons are fully consistent the methods produce identical results, but they diverge in the pre...

In this paper we discussed some nonlinear arithmetic operation on generalized triangular intuitionistic fuzzy numbers. Some examples and an application are given.

In recent work authors have proposed four new aggregation operators for triangular and trapezoidal fuzzy numbers based on means of apex angles [1][2][3][4]. Subsequently authors have proposed [5] a new aggregation operator for TFNs based on the arithmetic mean of slopes of the Land Rmembership lines. In this paper the work is extended and a new aggregation operator for TFNs is proposed in which...

Network-flow problems can be solved by several methods. Labeling techniques can be used to solve wide variety of network problems. A new algorithm to find the fuzzy maximal flow between source and sink was proposed by Kumar et el. [19]. They have represented normal triangular fuzzy numbers as network flow. It is not possible to restrict the membership function to the normal form and proposed th...